The length of a rectangular sign is 3 times its width. If the sign’s perimeter is 32 inches, what is the sign’s area?
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Answer:
48 inch²
Step-by-step explanation:
Let the width of rectangle be x.
Length of rectangle = 3x
Perimeter of rectangle = 2(l+b)
Given perimeter = 32 inches
=> 2(3x+x) = 32
=> 4x = 16
=> x = 4
Hence, width of rectangular sign = 4 inches
Length of sign = 3×4 = 12 inches
Area of sign = (12×4) inch² = 48 inch²
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